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* * * Rollout, Surprise and Mystery... * * *

Posted By: Daniel Murphy
Date: Wednesday, 16 January 2008, at 11:49 a.m.

In Response To: * * * Rollout, Surprise and Mystery... * * * (Klaus Evers)

How can it be, that in this simple positions, with all gammons gone [in a money game], the play that wins the most games (52.5%) is only ranked as #3 play?

(1) The win percentages that Gnubg reports are not cubeful. The differences in the win percentages are small, but it may be that since after 3/off 2/off and a fan Blue has more numbers that leave a blot next roll, a subsequent White hit leads to Blue losing a few more cubeful games to a double/pass than the best play does.

(2) 5/off is probably even a little better than your money game rollout shows. Gnubg cube action isn't sterling. After any of the three plays and a fan, Gnubg doubles and takes. After 5/off, though, it's a very small pass. Or so a rollout says.

The score (after 0 games) is: White 0, Blue 7

Move number 7: Blue on roll, cube decision?

White30


5X ' ' ' ' ' ' ' ' ' ' '

2O1O2O2O2O ' ' ' ' ' ' '

Blue28

Position ID: HwAAoLUNAAAAAA Match ID: UQkAAAAAOAAA

• Blue doubles

Cube decision
Rollout cubeless equity +0.462
Cubeful equities:
1.Double, take +0.792
2.Double, pass +1.000 +0.208
3.No double +0.693 -0.098
Proper cube action:Redouble, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.7310.0000.000-0.2690.0000.000 +0.462 +0.693
Standard error0.0000.0000.000-0.0000.0000.000 0.001 0.001
Player White owns 4-cube0.7360.0000.000-0.2640.0000.000 +0.943 +0.792
Standard error0.0010.0000.000-0.0010.0000.000 0.002 0.003
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1050776256 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

The score (after 0 games) is: White 0, Blue 7

Move number 7: Blue on roll, cube decision?

White30


5X ' ' ' ' ' ' ' ' ' ' '

2O2O3O2O1O ' ' ' ' ' ' '

Blue28

Position ID: HwAAoO0WAAAAAA Match ID: UQkAAAAAOAAA

• Blue doubles

Cube decision
Rollout cubeless equity +0.544
Cubeful equities:
1.Double, pass +1.000
2.Double, take +1.009 +0.009
3.No double +0.781 -0.219
Proper cube action:Redouble, pass
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.7720.0000.000-0.2280.0000.000 +0.544 +0.781
Standard error0.0000.0000.000-0.0000.0000.000 0.001 0.002
Player White owns 4-cube0.7760.0000.000-0.2240.0000.000 +1.103 +1.009
Standard error0.0010.0000.000-0.0010.0000.000 0.002 0.003
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1050776256 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

The score (after 0 games) is: White 0, Blue 1

Move number 7: Blue on roll, cube decision?

White30


5X ' ' ' ' ' ' ' ' ' ' '

2O3O4O2O ' ' ' ' ' ' ' '

Blue28

Position ID: HwAAoN0bAAAAAA Match ID: UQkAAAAACAAA

• Blue doubles

Cube decision
Rollout cubeless equity +0.470
Cubeful equities:
1.Double, take +0.856
2.Double, pass +1.000 +0.144
3.No double +0.754 -0.102
Proper cube action:Redouble, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.7350.0000.000-0.2650.0000.000 +0.470 +0.754
Standard error0.0000.0000.000-0.0000.0000.000 0.001 0.002
Player White owns 4-cube0.7380.0000.000-0.2620.0000.000 +0.953 +0.856
Standard error0.0000.0000.000-0.0000.0000.000 0.002 0.003
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1050776256 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

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